A data set includes data from student evaluations of courses. The summary statistics are n=92, x = 4.16, s= 0.57. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. What are the null and alternative hypotheses? O A. Họ: H= 4.25 O B. Ho: =4.25 H: u<4.25 H1: u>4.25 OC. Ho: u#4.25 D. Họ: H=4.25 H:µ=4.25 H:H44.25 Determine the test statistic. (Round to two decimal places as needed.)

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A data set includes data from student evaluations of courses. The summary statistics are \( n = 92, \, \bar{x} = 4.16, \, s = 0.57 \). Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim.

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**What are the null and alternative hypotheses?**

- **A.** \( H_0: \mu = 4.25 \)  
  \( H_1: \mu < 4.25 \)

- **B.** \( H_0: \mu = 4.25 \)  
  \( H_1: \mu > 4.25 \)

- **C.** \( H_0: \mu \neq 4.25 \)  
  \( H_1: \mu = 4.25 \)

- **D.** \( H_0: \mu = 4.25 \)  
  \( H_1: \mu \neq 4.25 \) (Correct choice)

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**Determine the test statistic.**

\( \text{(Round to two decimal places as needed.)} \)

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The diagram includes options A through D, with the correct hypothesis test selection indicated as D: \( H_0: \mu = 4.25 \), \( H_1: \mu \neq 4.25 \).
Transcribed Image Text:A data set includes data from student evaluations of courses. The summary statistics are \( n = 92, \, \bar{x} = 4.16, \, s = 0.57 \). Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative hypotheses, test statistic, P-value, and state the final conclusion that addresses the original claim. --- **What are the null and alternative hypotheses?** - **A.** \( H_0: \mu = 4.25 \) \( H_1: \mu < 4.25 \) - **B.** \( H_0: \mu = 4.25 \) \( H_1: \mu > 4.25 \) - **C.** \( H_0: \mu \neq 4.25 \) \( H_1: \mu = 4.25 \) - **D.** \( H_0: \mu = 4.25 \) \( H_1: \mu \neq 4.25 \) (Correct choice) --- **Determine the test statistic.** \( \text{(Round to two decimal places as needed.)} \) --- The diagram includes options A through D, with the correct hypothesis test selection indicated as D: \( H_0: \mu = 4.25 \), \( H_1: \mu \neq 4.25 \).
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